A) B will have smaller radius of curvature than that of A
B) both will have the same curvature
C) A will have smaller radius of curvature than that of B
D) both will move along the direction of their original velocities.
Correct Answer: A
Solution :
(a) B will have smaller radius of curvature than that of A Using, qv \[B\,\sin \theta =\frac{m{{v}^{2}}}{r}\] \[r\propto \frac{1}{\sin \,\theta }\] for the same values of m. v, q and B \[\therefore \frac{{{r}_{A}}}{{{r}_{B}}}=\frac{\sin \,90{}^\circ }{\sin \,30{}^\circ }=2\] or \[{{r}_{A}}=2{{r}_{B}}\] or \[{{r}_{B}}<{{r}_{A}}\]You need to login to perform this action.
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